arXiv research

JIT liquidity providers can sometimes reduce overall market liquidity by crowding out passive LPs.

Optimal fees protect passive LPs in AMMs under varying market conditions.

This paper extends liquidity returns in geometric mean markets to time-varying weights.

Optimizes liquidity withdrawal timing for AMM LPs to balance fees and impermanent loss.

Detects potential depegs in Curve's StableSwap pools to protect LPs.

PA-AMM divides reserves into active and passive parts for better liquidity provider wealth.

Sharp Lp affine isoperimetric inequalities are established for the entire class of Lp projection bodies and the entire class of Lp centroid bodies. These new inequalities strengthen the Lp Petty projection and the Lp Busemann--Petty centroid inequality.

FLAIR measures LP competitiveness in AMMs, improving LP performance evaluations.

Study on LP-Sasakian manifolds with generalized η-Ricci solitons.

Study shows AMM liquidity providers lose more than they earn, with varying profitability across pairs.

In this paper, we give a new sharp generalization bound of lp-MKL which is a generalized framework of multiple kernel learning (MKL) and imposes lp-mixed-norm regularization instead of l1-mixed-norm regularization. We utilize localization techniques to obtain the sharp learning rate. The bound is characterized by the d…

The object of the present paper is to study locally $φ$-symmetric LP-Sasakian manifolds admitting semi-symmetric metric connection and obtain a necessary and sufficient condition for a locally $φ$-symmetric LP-Sasakian manifold with respect to semi-symmetric metric connection to be locally $φ$-symmetric LP-Sasakian man…

The abstract discusses p-harmonic forms and their geometric properties, proving new theorems about Lp-cohomology.

Paper introduces a new multi-kernel algorithm for better gradient approximation.

Study on liquidity providers' performance in decentralized exchanges.

New RL method learns from passive data by modeling intentions.

Classifies SL(n) covariant matrix-valued valuations on Lp-spaces.

In this work we introduce a category of discrete Lagrange--Poincare systems LP_d and study some of its properties. In particular, we show that the discrete mechanical systems and the discrete mechanical systems obtained by the Lagrangian reduction of symmetric discrete mechanical systems are objects in LP_d. We introdu…

Study on convex capillary hypersurfaces with Lp curvature in half-space.

Study analyzes factors affecting profits in crypto liquidity provision.

Active learning can't improve over passive in certain settings.

This paper aims to incorporate passive symmetries in machine learning for better generalization.

This paper investigates the market impact of passive orders.

New LP method recovers MAP solution from noisy stable instances.

New algorithm reduces online decision-making regret with efficient LP re-solving and parallel first-order method.

Study growth of LP wealth in G3Ms affected by trading fees and arbitrage.

This is a short survey of Riemannian geometric applications of Lp-cohomology of thick spaces, p not equal to 2.

High-fee pools attract more liquidity but execute less volume; low-fee pools have more stable LPs.

New method prunes large causal bounds LPs for scalable inference.

We use a new combinatorial technique to prove the optimal interior partial regularity result for Lp-vectorfields with integer fluxes minimizing the Lp-energy. More precisely, we prove that the minimal vectorfields are Hölder outside a set which is locally finite inside the domain. The results continue the program start…

Existence and uniqueness of the solution to the discrete Lp Minkowski problem for $\mathfrak{p}$-capacity are proved when $p \geq 1$ and $1<\mathfrak{p}<n$. For general Lp Minkowski problem for $\mathfrak{p}$-capacity, existence and uniqueness of the solution are given when $p \geq 1$ and $1<\mathfrak{p}\le 2$. These r…

We prove that the first reduced cohomology with values in a mixing Lp-representation, p larger than 1, vanishes for a class of amenable groups including connected amenable Lie groups. In particular this solves for this class of amenable groups a conjecture of Gromov saying that every finitely generated amenable group h…

AMM finds optimal contract for LPs to maximize order flow.

We study the role of active and passive investors in an investment market with uncertainties. Active investors concentrate on a single or a few stocks with a given probability of determining the quality of them. Passive investors spread their investment uniformly, resembling buying the market index. In this toy market …

MAP inference for general energy functions remains a challenging problem. While most efforts are channeled towards improving the linear programming (LP) based relaxation, this work is motivated by the quadratic programming (QP) relaxation. We propose a novel MAP relaxation that penalizes the Kullback-Leibler divergence…

AI enhances refinery optimization by detecting data errors and improving decision-making.

Optimal fees for G3Ms align LP value with market accuracy.

New formula identifies and quantifies costs for automated market makers.

Proves existence and uniqueness of solutions to the Lp Gaussian Minkowski problem.

Passive investing can incur hidden costs due to market timing inefficiencies.

We study the theoretical advantages of active learning over passive learning. Specifically, we prove that, in noise-free classifier learning for VC classes, any passive learning algorithm can be transformed into an active learning algorithm with asymptotically strictly superior label complexity for all nontrivial targe…

New offline RL algorithm with optimal sample complexity using LP and error bounds.

Modeling DEX liquidity with heterogeneous LPs and MEV bots.

This paper improves conformal prediction for robust interval estimation under distribution shifts.

Model predicts active and passive cosponsorship motivations in Congress.

LP-FT improves personalized model training in FL by balancing generalization and personalization.

Paper optimizes liquidity provision in decentralized finance markets.

Paper calculates greeks for DeFi LPs and introduces Impermanent Gain.